Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-10-21
Phys. Rev. B 76, 195332 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
18 pages, 3 figures. This is the second of a series of two papers on decoherence. The first introduces an influence functional
Scientific paper
10.1103/PhysRevB.76.195332
This is the second in a series of two papers (I and II) on the problem of decoherence in weak localization. In paper I, we discussed how the Pauli principle could be incorporated into an influence functional approach for calculating the Cooperon propagator and the magnetoconductivity. In the present paper II, we check and confirm the results so obtained by diagrammatically setting up a Bethe-Salpeter equation for the Cooperon, which includes self-energy and vertex terms on an equal footing and is free from both infrared and ultraviolet divergencies. We then approximately solve this Bethe-Salpeter equation by the Ansatz C(t) = C^0 (t) e^{-F(t)}, where the decay function F(t) determines the decoherence rate. We show that in order to obtain a divergence-free expression for the decay function F(t), it is sufficient to calculate C^1 (t), the Cooperon in the position-time representation to first order in the interaction. Paper II is independent of paper I and can be read without detailed knowledge of the latter.
Ambegaokar Vinay
Delft Jan von
Marquardt Florian
Smith Robert A.
No associations
LandOfFree
Decoherence in weak localization II: Bethe-Salpeter calculation of Cooperon does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Decoherence in weak localization II: Bethe-Salpeter calculation of Cooperon, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Decoherence in weak localization II: Bethe-Salpeter calculation of Cooperon will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-89616